Bisects means to separate in equal parts, meaning each part is equal. This means the equations on each side of the line are equal. Once you equate them, you combine like terms finding your answer.
1) 2x+ 3=x+7
-x -x
x+3 = 7
-3 -3
Answer: x=4 (do this for the others)
2) x=7/2
3) x=5/2
Answer:
The slope is -10, and the y-intercept is 1
Step-by-step explanation:
The slope is in the equation and always has a variable next to it (In this case, -10x, so -10 is the slope)
The y-intercept is 1 and that is also in the equation and does not have any variables next to it (In this case, + 1, so it is 1)
Answer:
Can't tell if it went through...
1. Shop A = 2x
2. Shop B = 2x - 580
3. Total = Shop A + Shop B
1949 = 2x + 2x - 580
4. Combine like terms
2x + 2x = 4x
1949 = 4x - 580
5. Add 580 to both sides (to remove -580 from right side)
1949 + 580 = 4x - 580 + 580
2529 = 4x
6. Divide both sides by 4 (to get x)
2529 / 4 = 4x / 4
632.25 = x
7. Shop A = 2x
2 * 632.25 = 1264.50
Shop A = 1264.50
8. Shop B = 2x - 580
2 * 632.25 - 580 = 684.50
Shop B = 684.50
Check: Shop A + Shop B = 1949
1264.50 + 684.50 = 1949
Shop A = 1264.50
Shop B = 684.50
Step-by-step explanation:
Answer: 2/72
Step-by-step explanation:
1/36
(1*2)/(36*2)
2/72
Step-by-step explanation:
The expected value is the sum of each outcome times its probability.
E = (0.70)(50000) + (0.05)(0) + (0.25)(-3500)
E = 34125
The store is expected to gain $34,125.